Editing Sign bit (section)

== Sign bit weight in Two's complement ==
{| class="wikitable" style="margin-left: auto; margin-right: auto; border: none;" 
|+
!Bits
!Value using Two's complement
|-
| {{Mono|'''0'''000}}
| 0
|-
| {{Mono|'''0'''001}}
| 1
|-
| {{Mono|'''0'''111}}
| 7
|-
| {{Mono|'''1'''000}}
| −8
|-
| {{Mono|'''1'''001}}
| −7
|-
| {{Mono|'''1'''111}}
| −1
|}
[[Two's complement]] is by far the most common format for signed integers. In Two's complement, the sign bit has the weight {{Math|-2<sup>w-1</sup>}} where w is equal to the bits position in the number.<ref name=":0" /> With an 8-bit integer, the sign bit would have the value of {{Math|-2<sup>'''8'''-1</sup>}}, or -128. Due to this value being larger than all the other bits combined, having this bit set would ultimately make the number negative, thus changing the sign.